Add to ORKGAbstract If the Green function g E of a compact set E ⊂ C is Hölder continuous, then the Hölder exponent of the set E is the supremum over all such α, that |g E (z) − g E (w)| ≤ M |z − w| α , z, w ∈ C. We give a lower bound for the Hölder exponent of the Julia sets of polynomials. In particular we show that there are totally disconnected planar sets with the Hölder exponent greater than 3/5
O campo da dinâmica complexa analítica tem sofrido um rápido desenvolvimento nos últimos 20 anos. De...
AbstractJulia sets or F sets, have been of considerable interest in current research. In this paper ...
Let f be a transcendental entire function in the Eremenko-Lyubich class B. We give a lower bound for...
In (10), A. Eremenko and G. Levin have found an upper bound for the characteristic exponent of polyn...
AbstractWe characterize the Julia sets of certain exponential functions. We show that the Julia sets...
We extend results by Barnsley et al. about orthogonal polynomials on Julia sets to the case of gener...
For a sequence (cn) of complex numbers we consider the quadratic polynomials fcn(z): = z 2 + cn and ...
Neste trabalho estudamos algumas propriedades geométricas do Conjunto de Julia e do e Conjunto de Ju...
In this paper we shall show that the Julia set of real polynomials of the form f(z) = z(l) + c(1) wi...
Se estudia la continuidad de la dimensión de Hausdorff d(c), de los conjuntos de Julia de una famili...
This dissertation is in the area of complex dynamics, more specifically focused on the iteration of ...
In this paper we define and study the Julia set and the Fatou set of an arbitrary polynomial f, whic...
. An estimation of the exponent of separation at infinity of algebraic sets is given. As a corollary...
Area and Hausdorff dimension of the set of accessible points of the Julia sets of λez and λ sin z by...
International audienceIn this article we derive an inequality of Lojasiewicz-Siciak type for certain...
O campo da dinâmica complexa analítica tem sofrido um rápido desenvolvimento nos últimos 20 anos. De...
AbstractJulia sets or F sets, have been of considerable interest in current research. In this paper ...
Let f be a transcendental entire function in the Eremenko-Lyubich class B. We give a lower bound for...
In (10), A. Eremenko and G. Levin have found an upper bound for the characteristic exponent of polyn...
AbstractWe characterize the Julia sets of certain exponential functions. We show that the Julia sets...
We extend results by Barnsley et al. about orthogonal polynomials on Julia sets to the case of gener...
For a sequence (cn) of complex numbers we consider the quadratic polynomials fcn(z): = z 2 + cn and ...
Neste trabalho estudamos algumas propriedades geométricas do Conjunto de Julia e do e Conjunto de Ju...
In this paper we shall show that the Julia set of real polynomials of the form f(z) = z(l) + c(1) wi...
Se estudia la continuidad de la dimensión de Hausdorff d(c), de los conjuntos de Julia de una famili...
This dissertation is in the area of complex dynamics, more specifically focused on the iteration of ...
In this paper we define and study the Julia set and the Fatou set of an arbitrary polynomial f, whic...
. An estimation of the exponent of separation at infinity of algebraic sets is given. As a corollary...
Area and Hausdorff dimension of the set of accessible points of the Julia sets of λez and λ sin z by...
International audienceIn this article we derive an inequality of Lojasiewicz-Siciak type for certain...
O campo da dinâmica complexa analítica tem sofrido um rápido desenvolvimento nos últimos 20 anos. De...
AbstractJulia sets or F sets, have been of considerable interest in current research. In this paper ...
Let f be a transcendental entire function in the Eremenko-Lyubich class B. We give a lower bound for...